Thomas Anthony Garrity

Thomas Anthony Garrity (born 25 April 1959)

Early life and education

Thomas Anthony Garrity was born in 1959. He completed his bachelor's degree in mathematics at the University of Texas at Austin in 1981.

Career

Garrity is currently a professor of mathematics at Williams College, where he has taught since 1989.

Research In 1989, Garrity and three other collaborators found an algorithm in NC to factorize rational polynomials over the complex numbers.

In 1991, Garrity discovered the concept of "geometric continuity", which generalizes several other notions of continuity for both explicit and implicit surfaces.

In 1999, Garrity came up with the concept of a simplex sequence, which is an alternate approach to the Hermite problem (of which the Jacobi-Perron algorithm is yet another approach). For the case of ordered pairs, if the simplex sequence is eventually periodic, then the two numbers must be of degree at most three.